Based on the weight and the model that is given, it should be noted that W(t) in radians will be W(t) = 0.9cos(2πt/366) + 8.2.
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How to calculate the radian.</h3>
From the information, W(t) = a cos(bt) + d. Firstly, calculate the phase shift, b. At t= 0, the dog is at maximum weight, so the cosine function is also at a maximum. The cosine function is not shifted, so b = 1.
Then calculate d. The dog's average weight is 8.2 kg, so the mid-line d = 8.2. W(t) = a cos t + 8.2. Then calculate a, the dog's maximum weight is 9.1 kg. The deviation from the average is 9.1 kg - 8.2 kg = 0.9 kg. W(t) = 0.9cost + 8.2
Lastly, calculate t. The period p = 2π/b = 2π/1 = 2π. The conversion factor is 1 da =2π/365 rad. Therefore, the function with t in radians is W(t) = 0.9cos(2πt/365) + 8.2.
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Answer:
b = 3w; 54
Step-by-step explanation:
Since the student reads 3 books in one week, we know that one book is three times the amount of weeks, or b = 3w
We can plug in 18 for w to find how many books are read in 18 weeks
b = 3w
b = 3(18)
b = 54
So after 18 weeks she has read 54 books
Answer:
Step-by-step explanation:
∠E = ∠B
6x - 39 = 3x
6x - 3x = 39
3x = 39
x = 39/3
x = 13
<span>6s^2 = 294
Solve for s
Solve for s:
6 s^2 = 294
Divide both sides by 6:
s^2 = 49
Take the square root of both sides:
Answer: s = 7 m
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Answer:
A construction worker may use trigonometry when building the roof of a house. They may have to calculate the right angle that hypotenuse must sit at so water doesn't build up on the roof and cause leaks.
(this may be more of an architect's job, as they are the ones that design the houses)
or
An air traffic controller may use trigonometry to find how long it will take an airplane to land/how far the airplane is from the ground while it is in the sky (hypotenuse), based on its height from the ground (opposite) and the distance away from the runway it is (adjacent). They can also calculate the angle of elevation of the airplane from the tower they work in.
